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Finding the Third Proportional to 66,827 and 88,333

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Solution

The third proportional to 66,827 and 88,333 is: 116,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,827 : 88,333 = 88,333 : x
  2. Step 2: Convert to fraction form
    66,827/88,333 = 88,333/x
  3. Step 3: Cross multiply
    66,827x = 88,333 × 88,333
  4. Step 4: Simplify right side
    66,827x = 7,802,718,889
  5. Step 5: Solve for x
    x = 7,802,718,889/66,827
  6. Step 6: Final answer
    x = 116,759.98

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.